2806680 has 64 divisors (see below), whose sum is σ = 8870400. Its totient is φ = 708480.

The previous prime is 2806679. The next prime is 2806691. The reversal of 2806680 is 866082.

2806680 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1665 + ... + 2895.

It is an arithmetic number, because the mean of its divisors is an integer number (138600).

2^2806680 is an apocalyptic number.

2806680 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2806680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4435200).

2806680 is an abundant number, since it is smaller than the sum of its proper divisors (6063720).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

2806680 is a wasteful number, since it uses less digits than its factorization.

2806680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1264 (or 1260 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 30.

The square root of 2806680 is about 1675.3148957733. The cubic root of 2806680 is about 141.0579712329.

It can be divided in two parts, 2806 and 680, that added together give a triangular number (3486 = T₈₃).

The spelling of 2806680 in words is "two million, eight hundred six thousand, six hundred eighty".